In triangle ABC, side AB is 12 more than BC and 6 less than AC. What will be the perimeter of the triangle

In triangle ABC, side AB is 12 more than BC and 6 less than AC. What will be the perimeter of the triangle if the length of BC is 32.

Let’s find the side AB if AB> BC by 12 cm, and BC = 32 cm.

Let’s designate the side AB – x, then AB = x + 12.

AB = 32 + 12.

AB = 44 cm.

Let’s find the side of AC if AC <BC by 6 cm.

Let’s designate the AC side as x2, then AC = x + 6.

AC = 44 + 6.

AC = 50 cm.

Find the perimeter P of the triangle ABC if AB = 44 cm, BC = 32 cm, AC = 50 cm.

P = AB + BC + AC.

P = 44 + 32 + 50.

P = 126 cm.

Answer: The perimeter of the triangle is 126 cm, that is, P = 126 cm.